Finding the Fourth Proportional to 853,386,631,217.62, 1,280,155,199,307.20 and 240,771,552,205.95
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Solution
The fourth proportional to 853,386,631,217.62, 1,280,155,199,307.20 and 240,771,552,205.95 is: 361,178,559,783.55
Step by Step Solution
- Step 1: Write the proportion equation
853,386,631,217.62 : 1,280,155,199,307.20 = 240,771,552,205.95 : x - Step 2: Convert to fraction form
853,386,631,217.62/1,280,155,199,307.20 = 240,771,552,205.95/x - Step 3: Cross multiply
853,386,631,217.62x = 1,280,155,199,307.20 × 240,771,552,205.95 - Step 4: Simplify right side
853,386,631,217.62x = 308,224,954,401,711,852,617,728 - Step 5: Solve for x
x = 308,224,954,401,711,852,617,728/853,386,631,217.62 - Step 6: Final answer
x = 361,178,559,783.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.